So lets do it like this:
z = (X-Mean)/SD
<span>z1 = (8-12)/2 = - 2 </span>
<span>z2 = (16-12)/2 = + 2 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean more or less 2SD covers 95% of the values </span>
So t<span>he percentage of data points falling between 8 and 16 = 95%
</span>I hope this can help
Perimeter is 24.
Length is 4 greater than the width.
Let's use 'x' for width
we can write this as x+4 + x+4 + x + x
x+4 being the width+4 and x being the width
There are 4 sides to a rectangle so you are adding 4 values
Two length and two widths
so we can then combine the two lengths to make 2x+8
and then combine the two widths to make 2x
Then put it together. 2x+2x+8= 4x+8
4x+8=24
Subtract 8 from both sides
4x=16
divide both sides by 4
x=4
The width is 4.
Answer:
c-76 and d-68
Step-by-step explanation:
a=2(wl+hl+hw)
Please mark brainliest if this helps and ask more questions if you need to!
Answer: the value of the annuity when you retire is $130919
Step-by-step explanation:
We would apply the future value which is expressed as
FV = C × [{(1 + r)^n - 1}/r]
Where
C represents the yearly payments.
FV represents the amount of money
in your account at the end of 10 years.
r represents the annual rate.
n represents number of years or period.
From the information given,
r = 7% = 7/100 = 0.07
C = 20/100 × 47400 = $9480
n = 10 years
Therefore,
FV = 9480 × [{(1 + 0.07)^10 - 1}/0.07]
FV = 9480 × [{1.967 - 1}/0.07]
FV = 9480 × 13.81
FV = $130919
